In this paper, we study Ding homological dimensions of complexes. Special attention is paid
to the dimensions of homologically bounded complexes that have nice functorial …

The Gorenstein cohomological dimension is defined for any group G and coincides with the
virtual cohomological dimension vcd G, whenever the latter is defined and finite. Unlike the …

Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-
dim R≤ 2, then A is a graded Noetherian domain with h-dim A≤ 2. This is a generalization …

Rings of invariants can have nice homological properties even if they do not have finite
global dimension. Watanabe's Theorem [W] gives conditions when the fixed subring of a …

In this paper, we show that the injective dimension of all projective modules over a
countable ring is bounded by the self-injective dimension of the ring. We also examine the …

We will study homological properties of noetherian rings. As a bridge between the n-
Gorenstein property and the dominant dimension, we will introduce the dominant numbers …

First we study the Gorenstein cohomological dimension ${\rm Gcd} _RG $ of groups $ G $
over coefficient rings $ R $, under changes of groups and rings; a characterization for …

In this paper, we introduce the notion of a partial action of an ordered groupoid on a ring and
we construct the corresponding partial skew groupoid ring. We present sufficient conditions …

The study of rings and modules with homological criteria is a cornerstone of commutative
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …

In this paper we mainly study the properties of dual modules over k-Gorenstein rings. For a k-
Gorenstein ring Λ we show that the right self-injective dimension is less than or equal to k if …